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Finding the Fourth Proportional to 5,133.17, 7,714.17 and 3,053.54

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Solution

The fourth proportional to 5,133.17, 7,714.17 and 3,053.54 is: 4,588.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,133.17 : 7,714.17 = 3,053.54 : x
  2. Step 2: Convert to fraction form
    5,133.17/7,714.17 = 3,053.54/x
  3. Step 3: Cross multiply
    5,133.17x = 7,714.17 × 3,053.54
  4. Step 4: Simplify right side
    5,133.17x = 23,555,545.95
  5. Step 5: Solve for x
    x = 23,555,545.95/5,133.17
  6. Step 6: Final answer
    x = 4,588.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.